Operators Applied to Lifts with Respect to the Diagonal Lifts of Affinor Fields Along a Cross-Section on $T_{q}^{p}(M)$

In this paper firstly, operators were applied to vertical and horizontal lifts with respect to the diagonal lift $ϕ^{D}$ of tensor fields of type (1,1) from manifold to its tensor bundle of type (p,q) along the cross-section, respectively. Secondly, we get the conditions of almost holomorfic vector field with respect to $ϕ^{D}$ on $T_{q}^{p}(M)$.

Keywords:

Cross-section, Tachibana operators, Vishnevskii operators, diagonal lift horizontal lift, vertical lift,

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